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Finding the Fourth Proportional to 9,605.94, 14,415.39 and 3,761.82

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Solution

The fourth proportional to 9,605.94, 14,415.39 and 3,761.82 is: 5,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.94 : 14,415.39 = 3,761.82 : x
  2. Step 2: Convert to fraction form
    9,605.94/14,415.39 = 3,761.82/x
  3. Step 3: Cross multiply
    9,605.94x = 14,415.39 × 3,761.82
  4. Step 4: Simplify right side
    9,605.94x = 54,228,102.41
  5. Step 5: Solve for x
    x = 54,228,102.41/9,605.94
  6. Step 6: Final answer
    x = 5,645.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.